2. Let f'(x) = 3-4 Assume the domain of f is (-o, -1) U (-1, 00)....
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2. Let f'(x) = 3-4 Assume the domain of f is (-o, -1) U (-1, 00). Note you are being given the derivative of f but asked questions about f itself. +1 (a) Find the intervals where f is increasing and decreasing. Identify the relative extrema. (b) Find the intervals where f is concave up and down and identify any inflection points. (c) Assume lim,-1- f(x) = lim,-1+ f(x) = ∞ and f(-4) = 1 and f(1) = 2. Sketch a graph of f. 2. Let f'(x) = 3-4 Assume the domain of f is (-o, -1) U (-1, 00). Note you are being given the derivative of f but asked questions about f itself. +1 (a) Find the intervals where f is increasing and decreasing. Identify the relative extrema. (b) Find the intervals where f is concave up and down and identify any inflection points. (c) Assume lim,-1- f(x) = lim,-1+ f(x) = ∞ and f(-4) = 1 and f(1) = 2. Sketch a graph of f.
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